rollback (ie uninstall and reinstall) to use the CAW version and base game version to match the last pack as in that table

only patch up to that level

[Version]
...
CompatVersion = 12
WorldBuilderCompatibilityVersion = 9

Step-by-step

The FROM and TO would most likely change depending on what is older - CAW or the base game level. In the below scenario, my base game is patched to a higher level (level 014) than CAW (level 013), so I copy FROM base game TO CAW.

Go to your base game's \Game\Bin path (Red box, on the right)

\Program Files (x86)\Electronic Arts\The Sims 3\Game\Bin\

Open this file in Notepad, leave it and Alt+Tab back to Windows Explorer

Then, go to CAW's path (Red box, on the left)

\Program Files (x86)\Electronic Arts\The Sims 3 Create a World Tool\

Make a copy of this Default.ini file and back it up just in case

And open this Default.ini in Notepad, as well.

Copy the 2 lines indicated above from base game's Default.ini. Note the values would change as more patches are released in future.

Paste it to replace the lines in the Default.ini from your base game's path to the CAW path (Blue boxed).

Edit the GameVersion of CAW FROM1.13.3.013037TO1.13.3.014037 (Pink boxed), so the game codes are on the same level.

Finally, the left side is how the CAW Default.ini should now look after the above edits are done (click on image to view in higher resolution).